A new method of fundamental solutions for time-dependent non-homogeneous heat source problems
Publish Year: 1398
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICNS04_032
تاریخ نمایه سازی: 8 تیر 1398
Abstract:
We present a method of fundamental solutions for the non-homogeneous diffusion equations with time-dependent heat sources. In the classical method of fundamental solution, rst, the solution of the homogeneous equation is expressed as a combination of the time-dependent fundamental solution and then an approximation of the paricular solution is used to obtain the solution of the main equation. In this work, the solution of the non-homogeneous problem is assumed as a combination of the fundamental solutions of the diffusion operator with time-dependent coefficients. The suggested method is truely meshless and does not use any sort of discretization and nodal connectivities. Some 2-D and 3-D numerical exampls are presented toshow the effectiveness of the new method.
Keywords:
Non-homogeneous diffusion equations , Meshfree method , Method of fundamental solutions , Time-dependent fundamental solutions.
Authors
Saeed Mohammadi
Department of Mathematics, University of Kurdistan, Sanandaj, Iran.
Kamal Shanazari
Department of Mathematics, University of Kurdistan, Sanandaj, Iran.
Morad Ahmadnasab
Department of Mathematics, University of Kurdistan, Sanandaj, Iran.